Čech complete nearness spaces

H. L. Bentley; Worthen N. Hunsaker

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 2, page 315-328
  • ISSN: 0010-2628

Abstract

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We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness structures which are induced by topological extensions of the two above mentioned types.

How to cite

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Bentley, H. L., and Hunsaker, Worthen N.. "Čech complete nearness spaces." Commentationes Mathematicae Universitatis Carolinae 33.2 (1992): 315-328. <http://eudml.org/doc/247423>.

@article{Bentley1992,
abstract = {We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness structures which are induced by topological extensions of the two above mentioned types.},
author = {Bentley, H. L., Hunsaker, Worthen N.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Čech complete; strongly Čech complete; nearness space; (strongly) Čech complete extensions; topological extensions},
language = {eng},
number = {2},
pages = {315-328},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Čech complete nearness spaces},
url = {http://eudml.org/doc/247423},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Bentley, H. L.
AU - Hunsaker, Worthen N.
TI - Čech complete nearness spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 2
SP - 315
EP - 328
AB - We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness structures which are induced by topological extensions of the two above mentioned types.
LA - eng
KW - Čech complete; strongly Čech complete; nearness space; (strongly) Čech complete extensions; topological extensions
UR - http://eudml.org/doc/247423
ER -

References

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